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2000120612 = 2272107283337
BaseRepresentation
bin111011100110111…
…0110101100100100
312011101120122200012
41313031312230210
513044012324422
6530245305352
7100364513300
oct16715665444
95141518605
102000120612
1193701a246
12479a05258
1325b4ba229
1414d8cad00
15ba8d84e2
hex77376b24

2000120612 has 72 divisors (see below), whose sum is σ = 4136487264. Its totient is φ = 843671808.

The previous prime is 2000120611. The next prime is 2000120621. The reversal of 2000120612 is 2160210002.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (2000120611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5934908 + ... + 5935244.

It is an arithmetic number, because the mean of its divisors is an integer number (57451212).

Almost surely, 22000120612 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000120612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068243632).

2000120612 is an abundant number, since it is smaller than the sum of its proper divisors (2136366652).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2000120612 is a wasteful number, since it uses less digits than its factorization.

2000120612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2000120612 is about 44722.7080128205. The cubic root of 2000120612 is about 1259.9463763187.

Adding to 2000120612 its reverse (2160210002), we get a palindrome (4160330614).

The spelling of 2000120612 in words is "two billion, one hundred twenty thousand, six hundred twelve".

Divisors: 1 2 4 7 14 28 49 98 107 196 214 283 337 428 566 674 749 1132 1348 1498 1981 2359 2996 3962 4718 5243 7924 9436 10486 13867 16513 20972 27734 30281 33026 36059 55468 60562 66052 72118 95371 121124 144236 190742 211967 252413 381484 423934 504826 667597 847868 1009652 1335194 1483769 1766891 2670388 2967538 3533782 4673179 5935076 7067564 9346358 10204697 18692716 20409394 40818788 71432879 142865758 285731516 500030153 1000060306 2000120612